What is the Greatest Common Factor of 35909 and 35925?

Greatest common factor (GCF) of 35909 and 35925 is 1.

GCF(35909,35925) = 1

We will now calculate the prime factors of 35909 and 35925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35909 and 35925.

How to find the GCF of 35909 and 35925?

We will first find the prime factorization of 35909 and 35925. After we will calculate the factors of 35909 and 35925 and find the biggest common factor number .

Step-1: Prime Factorization of 35909

Prime factors of 35909 are 149, 241. Prime factorization of 35909 in exponential form is:

35909 = 149¹ × 241¹

Step-2: Prime Factorization of 35925

Prime factors of 35925 are 3, 5, 479. Prime factorization of 35925 in exponential form is:

35925 = 3¹ × 5² × 479¹

Step-3: Factors of 35909

List of positive integer factors of 35909 that divides 35909 without a remainder.

1, 149, 241

Step-4: Factors of 35925

List of positive integer factors of 35925 that divides 35909 without a remainder.

1, 3, 5, 15, 25, 75, 479, 1437, 2395, 7185, 11975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35909 and 35925. The biggest common factor number is the GCF number.
So the greatest common factor 35909 and 35925 is 1.

Also check out the Least Common Multiple of 35909 and 35925